Mathematics Curriculum Framework
Number Sense and Operations
for Grades 9-10
|Understand numbers, ways of representing numbers, relationships among numbers, and number systems|
|Understand meanings of operations and how they relate to one another|
|Compute fluently and make reasonable estimates|
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
|10.N.1||Identify and use the properties of operations on real numbers, including the associative, commutative, and distributive properties; the existence of the identity and inverse elements for addition and multiplication; the existence of nth roots of positive real numbers for any positive integer n; and the inverse relationship between taking the nth root of and the nth power of a positive real number. |
|10.N.2||Simplify numerical expressions, including those involving positive integer exponents or the absolute value, e.g., 3(24 - 1) = 45, 4|3 - 5| + 6 = 14; apply such simplifications in the solution of problems. |
|10.N.3||Find the approximate value for solutions to problems involving square roots and cube roots without the use of a calculator, e.g., . |
|10.N.4||Use estimation to judge the reasonableness of results of computations and of solutions to problems involving real numbers.|
Exploratory Concepts and Skills
for Grades 9-10 and Single-Subject Courses
- Analyze relationships among the various subsets of the real numbers (whole numbers, integers, rationals, and irrationals).
- Explore higher powers and roots using technology.
- Explore the system of complex numbers and find complex roots of quadratic equations.